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Finding the Fourth Proportional to 9,686.62, 14,539.03 and 4,759.80

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Solution

The fourth proportional to 9,686.62, 14,539.03 and 4,759.80 is: 7,144.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.62 : 14,539.03 = 4,759.80 : x
  2. Step 2: Convert to fraction form
    9,686.62/14,539.03 = 4,759.80/x
  3. Step 3: Cross multiply
    9,686.62x = 14,539.03 × 4,759.80
  4. Step 4: Simplify right side
    9,686.62x = 69,202,778.50
  5. Step 5: Solve for x
    x = 69,202,778.50/9,686.62
  6. Step 6: Final answer
    x = 7,144.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.